Greatest Common Factor of 307/36, 712/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 307/36, 712/757

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 307/36,712/757

Given fractions are 307/36,712/757

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 307,712

Greatest Common Factor of Numerators i.e. GCF of 307,712 is 1 .

LCM of Denominators means LCM of 36,757 as per the given fractions.

LCM of 36,757 is 27252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 307,712

GCF of Fractions 307/36,712/757 is 1/27252

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 307,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,712 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 307,712 . The biggest common factor number is the GCF number.
So the greatest common factor 307,712 is 1.

Lets's calculate LCM of 36,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 27252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27252

Therefore, the GCF of Fractions 307/36,712/757 is 1/27252

Least Common Multiple of 36,757 with GCF Formula

Least Common Multiple of 36,757 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 36,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,757) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(36,757) x common factors =1 x 1 = 1

LCM(36,757) = ( 36 × 757 ) / 1

LCM(36,757) = 27252 / 1

LCM(36,757) = 27252


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 307/36, 712/757

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 307/36, 712/757?

Answer: GCF of Numerators as per given numbers 307/36, 712/757 is

GCF of Numerators i.e. for 307,712 is 1

LCM of denominators i.e. for 36,757 is 27252.

Thus, GCF of Fractions is 1/27252.Finally, GCF of Fractions for 307/36, 712/757 is 1/27252.